x+(x+12)+(x+12+10)=400

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Solution for x+(x+12)+(x+12+10)=400 equation:


Simplifying
x + (x + 12) + (x + 12 + 10) = 400

Reorder the terms:
x + (12 + x) + (x + 12 + 10) = 400

Remove parenthesis around (12 + x)
x + 12 + x + (x + 12 + 10) = 400

Reorder the terms:
x + 12 + x + (12 + 10 + x) = 400

Combine like terms: 12 + 10 = 22
x + 12 + x + (22 + x) = 400

Remove parenthesis around (22 + x)
x + 12 + x + 22 + x = 400

Reorder the terms:
12 + 22 + x + x + x = 400

Combine like terms: 12 + 22 = 34
34 + x + x + x = 400

Combine like terms: x + x = 2x
34 + 2x + x = 400

Combine like terms: 2x + x = 3x
34 + 3x = 400

Solving
34 + 3x = 400

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-34' to each side of the equation.
34 + -34 + 3x = 400 + -34

Combine like terms: 34 + -34 = 0
0 + 3x = 400 + -34
3x = 400 + -34

Combine like terms: 400 + -34 = 366
3x = 366

Divide each side by '3'.
x = 122

Simplifying
x = 122

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